IMC 2011 Q10
10. Merlin magically transforms a 6 tonne monster into mice with the same total mass.
Each mouse has a mass of 20g. How many mice does Merlin make?
- A 30
- B 300
- C 3000
- D 30 000
- E 300 000
Intermediate Mathematical Challenge 2011, Question 10. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 300 000
One tonne = 1000kg = 1 000 000g. So the number of mice is
6 000 000 ÷ 20 = 300 000.
Solution © UK Mathematics Trust, from the IMC 2011 solutions. Longer versions with investigations: Solutions and investigations (PDF).